题目列表

题目内容
$$y \gt 100,000$$

Quantity A

$$\frac{100}{1+\frac{1}{y}}$$

Quantity B

$$90$$




$$OA=OB=OC=OD$$

Quantity A

$$x$$

Quantity B

$$35$$




In the figure shown, $$3$$ squares intersect at points $$A$$, $$B$$, and $$C$$. If each of the squares has area $$16$$, and $$AB = BC$$, what is the perimeter of right triangle $$ABC$$?
Two sides of a right triangle have lengths $$5$$ and $$12$$.

Quantity A

The length of the third side of the triangle

Quantity B

$$11$$




$$PQ$$ is a diameter of the circle, line $$l$$ is tangent to the circle at $$P$$, line $$m$$ is tangent to the circle at $$Q$$, line $$n$$ is tangent to the circle, and $$x \lt 90$$.

Quantity A

$$RS$$

Quantity B

$$PQ$$


A ball is dropped from a height of $$6$$ meters and bounces to no more than $$90$$ percent of its original height. It falls back down and then repeatedly bounces to no more than $$90$$ percent of its maximum height after the previous bounce. What is the maximum height, in meters, that the ball can reach after the $$5th$$ bounce?
A sequence of numbers $$P_1, P_2, P_3.......P_n........$$ is defined as follows: $$P_1=1, P_2=2, and P_n=4\frac{P_n-1}{P_n-2}$$ for each integer $$n$$ greater than $$2$$. What is the value of $$P_4$$


The figure above shows the xy-coordinate system with its quadrants labeled. Line $$l$$ (not shown) has the equation $$y=ax+b$$, where $$a$$ and $$b$$ are constants $$a \lt 0$$, and $$b \lt 0$$. Which quadrant or quadrants cannot contain any part of line $$l$$?
Triangles $$ABC$$ has sides of lengths $$6, 7$$, and $$j$$, where $$j$$ is an integer. Triangle $$DEF$$ has sides of lengths $$2, 13$$, and $$j$$. What is the value of $$j$$?
In a certain high school graduating class,$$80$$ percent of the students applied to college and $$60$$ percent of those who applied have been accepted.

Quantity A

The percent of the students in the graduating class who applied to college and have not been accepted

Quantity B

$$20\%$$




A certain experiment consists of making $$25$$ observations of the variable $$x$$, which can have integer values between $$-3$$ and $$3$$, inclusive. The experiment was performed twice, and Tables I and II represent the results. Which of the three statistics- mean, median, and mode were the same both times the experiment was performed?


The table summarizes the waiting times, in minutes, of $$500$$ patients at a certain doctor's office. Of the $$500$$ waiting times, a waiting time of $$15$$ minutes is at the $$25$$th percentile and a waiting time of $$25$$ minutes is at the $$k$$th percentile.

Quantity A

$$k$$

Quantity B

$$50$$


If $$2^{3x} -64=0$$, what is the value of $$2^x$$?
$$n$$ and $$k$$ are integers greater than $$1$$ for which $$\sqrt{n^k}=(n^{13})\sqrt{n}$$

Quantity A

$$k$$

Quantity B

$$14$$




The right circular cylindrical tank above has inner dimensions of radius $$4$$ feet and height $$10$$ feet. What is the greatest possible distance, in feet, between $$2$$ points inside the tank?
For a list of $$k$$ consecutive integers, the median is $$m$$ and the range is $$r$$. Which of the following must be equal to $$k$$?
In the xy-plane, the x-intercept of line $$l$$ is $$2$$ and the y-intercept of line $$l$$ is $$8$$. Line $$k$$ is parallel to line $$l$$. Which of the following must be true for the intercepts of line $$k$$?
At an online bookstore, the annual sales in 2014 were $$15$$ percent greater than those of 2013, the annual sales in 2015 were $$25$$ percent greater than those of 2014, the annual sales in 2016 were $$35$$ percent less than those of 2015, and the annual sales in 2017 were $$5$$ percent less than those of 2016. Which of the following best describes the annual sales in 2017 compared with those of 2013?
The integers $$x_1, x_2, x_3, x_4$$, and $$x_5$$ are such that $$0 \lt x_1 \lt x_2 \lt x_3 \lt x_4 \lt x_5$$.

Quantity A

The sum of the squares of the five integers $$x_1, x_2, x_3, x_4$$, and $$x_5$$

Quantity B

The sum of the squares of the five integers $$x_1+1, x_2, x_3, x_4$$, and $$x_5-1$$


A total of $$210$$ tickets were sold for a local concert. Each ticket was either an adult ticket or a child ticket. The adult tickets sold for $$ $15$$ each and the child tickets sold for $$ $8$$ each. If the total revenue from all the tickets sold was $$ $2,730$$. How many more adult tickets than child tickets were sold?

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